Results on existence and controllability results for fractional evolution inclusions of order 1 < <i>r</i> < 2 with Clarke's subdifferential type
Marimuthu Mohan Raja, V. Vijayakumar, R. Udhayakumar, Kottakkaran Sooppy Nisar
Abstract
Abstract In our paper, we primarily concentrate on the existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type. By applying the facts related to the measure of noncompactness, fractional calculus, and fixed‐point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory.
Topics & Concepts
ControllabilityMathematicsSubderivativeType (biology)Order (exchange)Fractional calculusFixed-point theoremApplied mathematicsMathematical analysisPure mathematicsCalculus (dental)Regular polygonGeometryConvex optimizationMedicineDentistryEconomicsEcologyFinanceBiologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsStability and Controllability of Differential Equations